Gelfand pairs admit an Iwasawa decomposition
نویسندگان
چکیده
منابع مشابه
Gelfand pairs
Let K ⊂ G be a compact subgroup of a real Lie group G. Denote by D(X) thealgebra of G-invariant differential operators on the homogeneous space X = G/K. ThenX is called commutative or the pair (G,K) is called a Gelfand pair if the algebra D(X)is commutative. Symmetric Riemannian homogeneous spaces introduced by Élie Cartanand weakly symmetric homogeneous spaces introduced by Sel...
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This is a summary of the lectures delivered on Special Functions and Linear Representation of Lie Groups at the NSF-CBMS Research Conference at East Carolina University in March 5-9, 1979. The entire lectures will be published by the American Mathematical Society as a conference monograph in Mathematics.
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Let G be a real connected semisimple Lie group. For each v′, v, g ∈ G, we prove that lim m→∞ [a(vgv)] = s · b(g), where a(g) denotes the a-component in the Iwasawa decomposition of g = kan and b(g) ∈ A+ denotes the unique element that conjugate to the hyperbolic component in the complete multiplicative Jordan decomposition of g = ehu. The element s in the Weyl group of (G, A) is determined by y...
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ژورنال
عنوان ژورنال: Mathematische Annalen
سال: 2020
ISSN: 0025-5831,1432-1807
DOI: 10.1007/s00208-020-02034-0